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quiz_7_sol

# quiz_7_sol - Quiz7 Name October23,2009 (S) s P(S=s 0.05...

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Quiz 7 Name: ____________________________ October 23, 2009 A volunteer ambulance service handles 0-4 service calls (S) on any given day with the  probability distribution for the number of service calls as follows: s 0 1 2 3 4 P(S=s ) .05 .20 .35 .25 .15 1.  What is the expected number of service calls, E(S)? E(S) = 0*.05+1*.2+2*.35+3*.25+4*.15 = 2.25 2.  What is the variance in the number of service calls, Var(S)?  Var(S) =  3.  If the number of service calls for the ambulance service at Purdue (P) is P = 2*S + 3, what is  E(P)? E(P) = E(2S+3) = 2*E(S)+3 = 2*2.25 + 3 = 7.5

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Quiz 7 Name: ____________________________ October 23, 2009 A volunteer ambulance service handles 0-4 service calls (S) on any given day with the  probability distribution for the number of service calls as follows: s 0 1 2 3 4 P(S=s ) .05 .15 .35 .25 .20 1.  What is the expected number of service calls, E(S)? E(S) = 0*.05+1*.15+2*.35+3*.25+4*.2 = 2.4 2.  What is the variance in the number of service calls, Var(S)?

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